For one sequence in this film, Marilyn Monroe was to wear a flesh-colored bathing suit and appear to be swimming in the nude. When the scene was being filmed, Marilyn doffed the costume and wore only a flesh-colored bikini bottom. During a still photo session after filming the scene, she removed even that. The resulting publicity photos, many with Marilyn's obviously naked back to camera, garnered the film worldwide media coverage.
Dean Martin refused to finish the film with anyone but Marilyn Monroe as his co-star, so when Monroe died unexpectedly in August 1962; the film was abandoned.
The instrumental version of "Something's Gotta Give" by Ray Anthony & His Orchestra was originally in Daddy Long Legs which starred Fred Astaire and Leslie Caron. When the digital restoration and reconstruction was undertaken for the unfinished film, 20th Century-Fox inadvertently mixed in Anthony's instrumental version of the song for Marilyn's famous 'swimming pool' sequence at no cost since Fox also produced the Astaire vehicle. A different instrumental background - originally to be for the film - can be heard in an alternate take of the swimming pool scene that appeared on a Marilyn Monroe CD compilation issued by Hollywood Soundstage; this music was eventually used later on in the film as Monroe's character is encountered by Phil Silvers as she rests nude on the edge of the pool.
20th Century Fox's decision to dump Marilyn Monroe was financial. The studio was already in deep financial trouble with Cleopatra, which, at the time, was becoming the most expensive film ever made. They couldn't afford a bomb, so Monroe was jettisoned.